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Grade 9Magical Mathematics[Interesting Approach]

No. of solution to the equation.

[y+[y]]=2cos x
where y=[sinx+[sinx+[sinx]]]/3

where [] denotes greatest integer function.

Profile image of Leo Pixie
12 Years agoGrade 9
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1 Answer

Profile image of Arun Kumar
12 Years ago
Hello Student,
\\y={[sinx+[sinx+[sinx]]] \over 3}=[sinx] \\=>[y+[y]]=cosx \\=>[y]={cosx \over 2} \\=>[sinx]=cosx \\=>$hence no of solution is 0$
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty